Atkin-Lehner |
3- 11- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
26367d |
Isogeny class |
Conductor |
26367 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-108922077 = -1 · 36 · 11 · 172 · 47 |
Discriminant |
Eigenvalues |
-1 3- 0 1 11- -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-528,4653] |
[a1,a2,a3,a4,a6] |
Generators |
[9:21:1] |
Generators of the group modulo torsion |
j |
-16280842938625/108922077 |
j-invariant |
L |
4.1292995980095 |
L(r)(E,1)/r! |
Ω |
1.8886572299074 |
Real period |
R |
0.18219732749018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79101h1 |
Quadratic twists by: -3 |